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Finding the Fourth Proportional to 10,315, 14,226.06 and 8,889.40

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Solution

The fourth proportional to 10,315, 14,226.06 and 8,889.40 is: 12,259.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,315 : 14,226.06 = 8,889.40 : x
  2. Step 2: Convert to fraction form
    10,315/14,226.06 = 8,889.40/x
  3. Step 3: Cross multiply
    10,315x = 14,226.06 × 8,889.40
  4. Step 4: Simplify right side
    10,315x = 126,461,137.76
  5. Step 5: Solve for x
    x = 126,461,137.76/10,315
  6. Step 6: Final answer
    x = 12,259.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.